Atkin-Lehner |
3+ 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
56925h |
Isogeny class |
Conductor |
56925 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-103318875 = -1 · 33 · 53 · 113 · 23 |
Discriminant |
Eigenvalues |
-2 3+ 5- -2 11- -1 2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-555,5056] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:57:1] [25:82:1] |
Generators of the group modulo torsion |
j |
-5601816576/30613 |
j-invariant |
L |
5.0849872269286 |
L(r)(E,1)/r! |
Ω |
1.8969294020798 |
Real period |
R |
0.22338677186033 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56925e1 56925g1 |
Quadratic twists by: -3 5 |